Find the area and perimeter of the figure below, explain and show work pls

area is 26.285cm² permiter is 28.565 cm

Step-by-step explanation:

area

so split the shape into smaller shapes

half- circle

area of a circle is πr^2 so πx4^2 is 12.57 so half this number to get area of a half- circle =6.285cm2

rectangle area = (2+4+2) x 1= 8cm2

triangle area is 1/2 base x height

so 1/2 8 X 3 = 4 x 3= 12 cm2

add them all up 6.285 + 8 + 12= 26.285cm2

perimeter

do it bit by bit again

perimeter of half circle

for full circle =2πr^2 so = 25.13

for half circle= 12.565cm

rectangle part = 2+2+1+1 = 6cm

triangle part =5+5 = 10cm

total perimeter = 12.565+6+10= 28.565 cm